2 papers
math.OC2026
A finite-termination algorithm for testing copositivity over the positive semidefinite cone
Lei Huang, Lingling Xie
This paper proposes an efficient algorithm for testing copositivity of homogeneous polynomials over the positive semidefinite cone. The algorithm is based on a novel matrix optimiz…
math.OC2026
Lagrange multiplier expressions for matrix polynomial optimization and tight relaxations
Lei Huang, Jiawang Nie, Jiajia Wang +1
This paper studies matrix constrained polynomial optimization. We investigate how to get explicit expressions for Lagrange multiplier matrices from the first order optimality condi…